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Finding the Third Proportional to 786,354 and 1,186,029

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Solution

The third proportional to 786,354 and 1,186,029 is: 1,788,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,354 : 1,186,029 = 1,186,029 : x
  2. Step 2: Convert to fraction form
    786,354/1,186,029 = 1,186,029/x
  3. Step 3: Cross multiply
    786,354x = 1,186,029 × 1,186,029
  4. Step 4: Simplify right side
    786,354x = 1,406,664,788,841
  5. Step 5: Solve for x
    x = 1,406,664,788,841/786,354
  6. Step 6: Final answer
    x = 1,788,844.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.